The former Wolverhampton Wanderers and West Ham United bosses are among the favourites to succeed Mark Hughes at Stoke City.
The West Ham United players have made huge strides under Moyes.
Besiktas, Lokomotiv Moscow and Shanghai Shenhua players among the former Slaven Bilic stars he could sign at Stoke if named manager.
Everton completed the signing of Cenk Tosun from Besiktas last week.
But Stoke City may face a wait to appoint the Croatian, who was sacked by West Ham United last November.
Could the former West Ham United boss succeed Mark Hughes at Stoke City?
Slaven Bilic has been linked with a number of vacant hotseats since being sacked by West Ham.
Former England international Danny Mills thinks he knows how David Moyes won over the West Ham United dressing room.
West Ham United fans have left Dimitri Payet in no doubt over their feelings towards him one year after he left the club.
Slaven Bilic made five summer signings at West Ham before being sacked.